Chapter E, Problem 13.9EX

To determine

To find the value of $v$ under the given condition.

Answer to Problem 13.9EX

Option (c)

Explanation of Solution

Given information: Points $(2,2)\text{and}(8,v)$ lie on the line having slope $\frac{1}{2}$ .

Concept used:

The slope between the points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ is $\frac{y_2-y_1}{x_2-x_1}$

The slope between the points $(2,2)\text{and}(8,v)$ is

  $\begin{array}{l}\frac{v-2}{8-2}=\frac{1}{2}\\ v-2=3\\ \Rightarrow v=5\end{array}$

Hence, the value of coordinates of $v$ is 5